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Title: Excursions in Classical Analysis Condition: New Description: Excursions in Classical Analysis will introduce students to advanced problem solving and undergraduate research in two ways: it will provide a tour of classical analysis, showcasing a wide variety of problems that are placed in historical context, and it will help students gain mastery of mathematical discovery and proof. The author presents a variety of solutions for the problems in the book. Some solutions reach back to the work of mathematicians like Leonhard Euler while others connect to other beautiful parts of mathematics. Readers will frequently see problems solved by using an idea that at first glance, might not even seem to apply to that problem. Other solutions employ a specific technique that can be used to solve many different kinds of problems. Excursions emphasizes the rich and elegant interplay between continuous and discrete mathematics by applying induction, recursion, and combinatorics to traditional problems in classical analysis. The book will be useful in students' preparations for mathematics competitions, in undergraduate reading courses and seminars, and in analysis courses as a supplement. The book is also ideal for self study, since the chapters are independent of one another and may be read in any order. Author: Hongwei Chen Format: Hardback EAN: 9780883857687 Country/Region of Manufacture: US ISBN: 9780883857687 Language: English Item Height: 262mm Item Length: 183mm Item Weight: 710g Genre: Science Nature & Math ISBN-10: 0883857685 Subtitle: Pathways to Advanced Problem Solving and Undergraduate Research Publisher: Mathematical Association of America Release Date: 12/30/2010 Series: Classroom Resource Materials Type: Education Release Year: 2010
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